PROBABILITY

2 POSITIVE REAL NO.S x & y satisfying xâ‰¤1 & yâ‰¤1 r chosen at random.The probability that

x+yâ‰¤1 , given that x² + y² â‰¥ 1/4 , is

a) (8-âˆ©) / (16-âˆ©)

b) (4-âˆ©) / (16-âˆ©)

c)(4-âˆ©) / (8-âˆ©)

d) None

6 Answers

Uttara think of this one by graph..

area of the part such that x²+y²<4 = Ï€(1/2)²

Area of the part such that x<1, y<1 and x, y are both positive is 1

Now sketch the graph of x+y=1

and find the conditional probability

If you cant. i will finish this one for you.

Awesome work deepak :)

thanku sir ji [1]

Thanks Nishant Sir & Deepak :)

Fine I din't read the qs properly :(

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